已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值

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已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值

已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值
已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值

已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值
提公因式x^96,得:
原式
=x^96*(x^4+x^3+x^2+x+1)
=x^96*0
=0

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